Question: B, Problem A: A factorial experiment with four factors is conducted. Fac- tors A and B are fixed, and factors C and D are random.

B, Problem A: A factorial experiment with four

B, Problem A: A factorial experiment with four factors is conducted. Fac- tors A and B are fixed, and factors C and D are random. D is nested under C, and C is nested under B. The number of levels is 3, 2, 4 and 3 for A, C and D, respectively. There are 3 replicates. Assume the restricted model. a) Write downs the full linear model for the response including all possible interactions. b) Find the number of degrees of freedom of all sums of squares c) Write down the expressions for all expected mean squares. d) Propose F-tests for significance of all effects. In case an exact F-test is not possible, propose an approximate F-test. B, Problem A: A factorial experiment with four factors is conducted. Fac- tors A and B are fixed, and factors C and D are random. D is nested under C, and C is nested under B. The number of levels is 3, 2, 4 and 3 for A, C and D, respectively. There are 3 replicates. Assume the restricted model. a) Write downs the full linear model for the response including all possible interactions. b) Find the number of degrees of freedom of all sums of squares c) Write down the expressions for all expected mean squares. d) Propose F-tests for significance of all effects. In case an exact F-test is not possible, propose an approximate F-test

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